Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
06.09.1973
Phone: +7 (843) 231 52 78
Fax: +7 (843) 238 22 09
E-mail: ,
Website: https://tp://www.ksu.ru/eng/departments/niimm/matanal/salahudinov/index.html Keywords: Torsion rigidity,
moments with respect to the boundary,
conformal radius,
distance function to the boundary,
isoperimetric inequality.
UDC: 517.5, 517.956 MSC: 30A10, 30C75
Subject:
Isoperimetric inequalities; geometrical theory functions of complex variables; partial differential equations.
Main publications:
Salahudinov R. G. An isoperimetric inequality for torsional rigidity in the complex plane // J. of Inequal. and Appl. 2001. V. 6. P. 253–260.
Avkhadiev F. G., Salahudinov R. G. Bilateral Isoperimetric Inequalities for Boundary Moments of Plane Domains // Lobachevskii J. of Mathematics. 2001. V. 9. P. 3–5.
Avkhadiev F. G., Salahudinov R. G. Isoperimetric Inequalities for Conformal Moments of Plane Domains // J. of Inequal. and Appl. 2002. V. 7(4). P. 593–601.
Avkhadiev F. G., Kayumov I. R., Salakhudinov R. G. Investigations in the theory of functions and isoperimetric problems. (Russian) At the turn of the 20th--21st centuries (Russian), 37–50, Kazan. Mat. Obs., Kazan', 2003.
Salahudinov R. G. Two sided estimations of $L^p$-norms of the warping function of convex domains in $\mathbb R^n$ // Izv. Vuzov. Math. 2006. No 3. P. 41–49. (Russian)
Salahudinov R. G. Estimates of $L^p$-norms of the warping function of plane finite connected domains // Math. zametki. 2006. V. 80, Issue 4. P. 601–613. (Russian)
Salahudinov R. G. Isoperimetric Inequalities for $L^p$-norms of the Distance Function to the boundary // Uchenye Zapiski of Kazan State University. Issue Phys.-Math. sciences. 2006. V. 148, book 2. P. 151–162.
